Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm

Delaosa, Connor and Pestana, Jennifer and Weiss, Stephan and Proudler, Ian (2020) Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm. In: International Conference on Sensor Signal Processing for Defence, 2020-09-15 - 2020-09-16. (In Press)

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    Abstract

    This paper explores how angle of arrival (AoA) estimation using the multiple signal classification (MUSIC) algorithm, is affected by estimation errors in space-time covariance matrix. In particular, we explore how this estimation error perturbs the signal-plus-noise and noise-only subspaces of this matrix, and how this subsequently affects the performance of MUSIC for AoA estimation. This subspace perturbation is shown to depend on the space-time covariance matrix itself, the sample size over which it is estimated, as well as the distance of the smallest signal-related eigenvalue to the noise floor. We link a bound of this perturbation to a bound on MUSIC performance, and demonstrate its utility for AoA estimation in simulations.

    Creators(s): Delaosa, Connor, Pestana, Jennifer ORCID logoORCID: https://orcid.org/0000-0003-1527-3178, Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206 and Proudler, Ian;
    Item type:Conference or Workshop Item(Paper)
    ID code:73282
    Keywords:space-time covariance matrix, parahermitian matrix, cross-correlation sequence, angle of arrival, multiple signal classification, Electrical engineering. Electronics Nuclear engineering, Electrical and Electronic Engineering
    Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
    Department:Faculty of Engineering > Electronic and Electrical Engineering
    Technology and Innovation Centre > Sensors and Asset Management
    Strategic Research Themes > Measurement Science and Enabling Technologies
    Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:22 Jul 2020 11:52
    Last modified:22 Oct 2020 01:41
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/73282
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